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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 155r, page id 00068195:0309
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Figurae similes sunt ut quadrata plimetrorum, sunt enim, ut qua–
drata homologorum labum.
age AGE
se
H
ab = 2ac
= 2C
AGEF) BGE(E 5 RGE _EHF VAG Bage
CHFS DHF(2
( BGE (3EDHF
Ergoquage - c33 Ergo  age Bbge
Obge _ dhf
H bge
ae
H ahf (L2)+
1d3f (360) 31 3en
Scht, ofif Ergo Radices seupehrimeti age -2
cupponatur ess Ari angulia Homocoptolon cum paracila age, esse 4.
chf E43.
supponatur ergo Trianguli efh homoeoptoti cum semipara bola age. ambitus esse
3 Rg
cab = abd.
asc
cb bd
ae = ed
punctum ocaisus
gravitatis
erit semiparabolae ambitus 2. a quo si auferantur cognita
nobis: ae,  + eg. residuum erit sempar parabolica a4
a0. et ce
moce t
fignue.
B abC = a Gd
e  centra gratiies
Brevis: AGE 4
CHF CHBHC
Bc3F
Dager
Bd5s
Bage
 BChF
4bge
obge
H
age eon-L
bgc
CHF DDagB, DHF hage Bbge eage
1
E. OchF
abge
atum ab lisecat P. t et c ilidem et dq atidem t duunt rectae exanguls in dimiam labisoppositi
Chrevigi scimus quomodor sit AGE ad BGE. datis enim AG. Gi er i
4d3f
vel B(, E bg 59. quadrari possunt parabolae. Sunt autem eae semiparabole,
similes.
al) AGE 2c3 eHF)  auo
1n) BGE B+Sf  DHF.
AGE + Dch]
BGE +B dhf
AGC + D C3f
 Eage
BC3F
vage
GE 0, V age
ge BGE B
AchF Hage
BGE+ (D5] Edhf D BbgC
_bge (2GC +D chf Bd sit
CHF _ Of chf
figuranta.
tbge.
Vage (EHE DHF
bge. 
AG5
Dtge
CHF Hage Btge
a
AG5
BGE
Bf E1dhf
AGE = BG
CHF DHF
semi purabolamat. Dmai E spmai. BBimam C BGE
se minor
Tmin. spitim o ni crage toge
Ambilus. Pma. = Aut Y ma
in omni tiligao rectangtosia
amoitus dulatur
nate Evertitur
CHF ~ 1
El age AChf Dbge Daye _dhs Page
BG2
DHF
labis ectaram subtendentium seu laterum producetur summa figurae. Hoc verum reperimus
in oun Triangulis; in Polygonis, in cinculo quadrante circuli. Idem et
in Semparabola. Adeo ut hoc de B. quoque verum sit. Idem verum estion Ellipse
ed in seminiato haereo
erportionalis inter gemumis diamctio cllissis
planae,
cHF vage eut ebgC
Bage H bge Aage BChf LogC H33f
M
Ostendendum est hoc loco
uet est fgura ad figuram
 ita esse quadcata peri
metrorum
dissimilem quidem homoseneam